Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, D

Time bar (total: 10.0s)

analyze0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
100%50%0%0.1%0%50%0%2
Compiler

Compiled 16 to 14 computations (12.5% saved)

sample1.1s (11%)

Memory
-24.2MiB live, 1 575.8MiB allocated
Samples
814.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 533.0ms
ival-div: 259.0ms (48.6% of total)
ival-mult: 113.0ms (21.2% of total)
ival-sub: 77.0ms (14.5% of total)
ival-sqrt: 66.0ms (12.4% of total)
exact: 10.0ms (1.9% of total)
ival-true: 5.0ms (0.9% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

preprocess168.0ms (1.7%)

Memory
12.1MiB live, 129.6MiB allocated
Algorithm
2×egg-herbie
Rules
736×accelerator-lowering-fma.f32
736×accelerator-lowering-fma.f64
552×times-frac
400×*-lowering-*.f32
400×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03292
18676
225574
369174
4159574
5291274
6349774
7360474
8363474
9363874
10363874
11364274
01214
12612
26412
314012
426212
550112
699912
7126512
8135412
9136812
10137112
0137111
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))
Outputs
(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))
(+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)))
Call 2
Inputs
(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))
(- (- 1 (/ 1 (* (neg x) 9))) (/ y (* 3 (sqrt (neg x)))))
(- (- 1 (/ 1 (* x 9))) (/ (neg y) (* 3 (sqrt x))))
(neg (- (- 1 (/ 1 (* (neg x) 9))) (/ y (* 3 (sqrt (neg x))))))
(neg (- (- 1 (/ 1 (* x 9))) (/ (neg y) (* 3 (sqrt x)))))
(- (- 1 (/ 1 (* y 9))) (/ x (* 3 (sqrt y))))
Outputs
(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))
(+ (- 1 (/ 1/9 x)) (/ (* y -1/3) (sqrt x)))
(- (- 1 (/ 1 (* (neg x) 9))) (/ y (* 3 (sqrt (neg x)))))
(+ (+ 1 (/ 1/9 x)) (/ (* y -1/3) (sqrt (neg x))))
(- (- 1 (/ 1 (* x 9))) (/ (neg y) (* 3 (sqrt x))))
(+ (- 1 (/ 1/9 x)) (/ (* y 1/3) (sqrt x)))
(neg (- (- 1 (/ 1 (* (neg x) 9))) (/ y (* 3 (sqrt (neg x))))))
(+ (/ (* y 1/3) (sqrt (neg x))) (+ (/ -1/9 x) -1))
(neg (- (- 1 (/ 1 (* x 9))) (/ (neg y) (* 3 (sqrt x)))))
(- (/ (* y -1/3) (sqrt x)) (- 1 (/ 1/9 x)))
(- (- 1 (/ 1 (* y 9))) (/ x (* 3 (sqrt y))))
(+ (+ 1 (/ -1/9 y)) (* -1/3 (/ x (sqrt y))))

explain138.0ms (1.4%)

Memory
-1.9MiB live, 320.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
00-0-(sqrt.f64 x)
00-0-(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-#s(literal 9 binary64)
00-0-(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
00-0-(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
00-0-y
00-0-(*.f64 x #s(literal 9 binary64))
00-0-(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
42.0ms512×0valid
Compiler

Compiled 128 to 52 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 7.0ms (29.3% of total)
ival-mult: 6.0ms (25.1% of total)
ival-sub: 5.0ms (21% of total)
ival-sqrt: 4.0ms (16.8% of total)
exact: 1.0ms (4.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Compiler

Compiled 16 to 12 computations (25% saved)

simplify52.0ms (0.5%)

Memory
13.2MiB live, 91.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
✓cost-diff192
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓cost-diff384
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
Rules
736×accelerator-lowering-fma.f32
736×accelerator-lowering-fma.f64
400×*-lowering-*.f32
400×*-lowering-*.f64
186×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01246
12640
26440
314040
426240
550140
699940
7126540
8135440
9136840
10137140
0137139
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))
(- 1 (/ 1 (* x 9)))
1
(/ 1 (* x 9))
(* x 9)
x
9
(/ y (* 3 (sqrt x)))
y
(* 3 (sqrt x))
3
(sqrt x)
Outputs
(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))
(+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)))
(- 1 (/ 1 (* x 9)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(/ 1 (* x 9))
(/.f64 #s(literal 1/9 binary64) x)
(* x 9)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
x
9
#s(literal 9 binary64)
(/ y (* 3 (sqrt x)))
(/.f64 y (fma.f64 #s(literal 3 binary64) (sqrt.f64 x) #s(literal 0 binary64)))
y
(* 3 (sqrt x))
(fma.f64 #s(literal 3 binary64) (sqrt.f64 x) #s(literal 0 binary64))
3
#s(literal 3 binary64)
(sqrt x)
(sqrt.f64 x)

localize75.0ms (0.8%)

Memory
-11.5MiB live, 67.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓accuracy99.7%
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
✓accuracy99.6%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
Samples
39.0ms256×0valid
Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 4.0ms (34.3% of total)
ival-mult: 3.0ms (25.7% of total)
ival-sub: 2.0ms (17.2% of total)
ival-sqrt: 2.0ms (17.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
19.8MiB live, 19.8MiB allocated
Counts
5 → 84
Calls
Call 1
Inputs
#<alt (/ 1 (* x 9))>
#<alt (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))>
#<alt (- 1 (/ 1 (* x 9)))>
#<alt (/ y (* 3 (sqrt x)))>
#<alt (* 3 (sqrt x))>
Outputs
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
Calls

21 calls:

TimeVariablePointExpression
1.0ms
x
@0
(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))
1.0ms
y
@0
(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))
1.0ms
x
@-inf
(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))
1.0ms
x
@-inf
(* 3 (sqrt x))
0.0ms
y
@0
(/ y (* 3 (sqrt x)))

rewrite441.0ms (4.4%)

Memory
31.0MiB live, 963.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 710×accelerator-lowering-fma.f32
8 710×accelerator-lowering-fma.f64
5 066×*-lowering-*.f32
5 066×*-lowering-*.f64
4 668×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01236
16730
278230
0839829
Stop Event
1×iter limit
1×node limit
Counts
5 → 383
Calls
Call 1
Inputs
(/ 1 (* x 9))
(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))
(- 1 (/ 1 (* x 9)))
(/ y (* 3 (sqrt x)))
(* 3 (sqrt x))
Outputs
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 9 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
(/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -9 binary64))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64))
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))) (*.f64 x (*.f64 #s(literal 27 binary64) (sqrt.f64 x)))))))
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x))) (*.f64 x #s(literal 9 binary64))))))
(+.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))
(+.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (sqrt.f64 x))))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 3 binary64) y))
(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (sqrt.f64 x)) #s(literal -3 binary64))
(/.f64 (/.f64 (*.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -3 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(*.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal -1/3 binary64)))
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 #s(literal 3 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))
(*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -3 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))

simplify336.0ms (3.4%)

Memory
-40.8MiB live, 454.4MiB allocated
Algorithm
1×egg-herbie
Rules
7 056×accelerator-lowering-fma.f32
7 056×accelerator-lowering-fma.f64
2 398×*-lowering-*.f32
2 398×*-lowering-*.f64
1 324×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053624
1126624
2301623
3774623
41976623
53973623
65196623
76355623
87468623
97854623
08009602
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (sqrt x))
(fma.f64 (sqrt.f64 x) #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 (sqrt x))
(fma.f64 (sqrt.f64 x) #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 (sqrt x))
(fma.f64 (sqrt.f64 x) #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 (sqrt x))
(fma.f64 (sqrt.f64 x) #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 (sqrt x))
(fma.f64 (sqrt.f64 x) #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 (sqrt x))
(fma.f64 (sqrt.f64 x) #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 (sqrt x))
(fma.f64 (sqrt.f64 x) #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 (sqrt x))
(fma.f64 (sqrt.f64 x) #s(literal 3 binary64) #s(literal 0 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 (sqrt.f64 x) #s(literal 3 binary64) #s(literal 0 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 (sqrt.f64 x) #s(literal 3 binary64) #s(literal 0 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 (sqrt.f64 x) #s(literal 3 binary64) #s(literal 0 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 (sqrt.f64 x) #s(literal 3 binary64) #s(literal 0 binary64))

eval66.0ms (0.7%)

Memory
6.7MiB live, 157.5MiB allocated
Compiler

Compiled 15 339 to 1 099 computations (92.8% saved)

prune78.0ms (0.8%)

Memory
16.5MiB live, 174.5MiB allocated
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New45314467
Fresh000
Picked011
Done000
Total45315468
Accuracy
100.0%
Counts
468 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
99.6%
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
▶64.3%
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
79.8%
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
64.4%
(/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal -1/9 binary64)) x)
79.8%
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
68.1%
(-.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.6%
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶99.7%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.6%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.7%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
✓99.7%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
64.4%
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶65.7%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
▶79.6%
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (sqrt.f64 x) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 y #s(literal 1/3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x))))
Compiler

Compiled 526 to 376 computations (28.5% saved)

simplify540.0ms (5.4%)

Memory
-108.0MiB live, 464.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (sqrt.f64 x) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 y #s(literal 1/3 binary64))))
✓cost-diff320
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 y #s(literal 1/3 binary64)))
✓cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))
✓cost-diff960
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (sqrt.f64 x) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 y #s(literal 1/3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x))))
✓cost-diff0
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff192
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓cost-diff192
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
✓cost-diff0
(fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓cost-diff0
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
✓cost-diff0
(/.f64 #s(literal -1/9 binary64) x)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))
✓cost-diff192
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓cost-diff704
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
Rules
9 768×accelerator-lowering-fma.f32
9 768×accelerator-lowering-fma.f64
3 106×*-lowering-*.f32
3 106×*-lowering-*.f64
1 460×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043263
194249
2217241
3552235
41783232
55904232
08176226
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x))))
(- 1 (/ (/ 1 x) 9))
1
(/ (/ 1 x) 9)
(/ 1 x)
x
9
(/ y (* 3 (sqrt x)))
y
(* 3 (sqrt x))
3
(sqrt x)
(+ 1 (/ -1/9 x))
1
(/ -1/9 x)
-1/9
x
(+ (* (sqrt (/ 1 x)) (+ (* y -1/3) 0)) 1)
(sqrt (/ 1 x))
(/ 1 x)
1
x
(+ (* y -1/3) 0)
y
-1/3
0
(+ (* (/ 1 x) -1/9) (- 1 (/ y (* 3 (sqrt x)))))
(/ 1 x)
1
x
-1/9
(- 1 (/ y (* 3 (sqrt x))))
(/ y (* 3 (sqrt x)))
y
(* 3 (sqrt x))
3
(sqrt x)
(* (+ (* (+ 1 (/ 1 (* x (* x -81)))) (sqrt x)) (* (+ -1 (/ -1/9 x)) (* y 1/3))) (/ 1 (* (+ 1 (/ 1/9 x)) (sqrt x))))
(+ (* (+ 1 (/ 1 (* x (* x -81)))) (sqrt x)) (* (+ -1 (/ -1/9 x)) (* y 1/3)))
(+ 1 (/ 1 (* x (* x -81))))
1
(/ 1 (* x (* x -81)))
(* x (* x -81))
x
(* x -81)
-81
(sqrt x)
(* (+ -1 (/ -1/9 x)) (* y 1/3))
(+ -1 (/ -1/9 x))
-1
(/ -1/9 x)
-1/9
(* y 1/3)
y
1/3
(/ 1 (* (+ 1 (/ 1/9 x)) (sqrt x)))
(* (+ 1 (/ 1/9 x)) (sqrt x))
(+ 1 (/ 1/9 x))
(/ 1/9 x)
1/9
Outputs
(- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x))))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(- 1 (/ (/ 1 x) 9))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(/ (/ 1 x) 9)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
9
#s(literal 9 binary64)
(/ y (* 3 (sqrt x)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 0 binary64))
y
(* 3 (sqrt x))
(fma.f64 #s(literal 3 binary64) (sqrt.f64 x) #s(literal 0 binary64))
3
#s(literal 3 binary64)
(sqrt x)
(sqrt.f64 x)
(+ 1 (/ -1/9 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
-1/9
#s(literal -1/9 binary64)
x
(+ (* (sqrt (/ 1 x)) (+ (* y -1/3) 0)) 1)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ (* y -1/3) 0)
(fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64))
y
-1/3
#s(literal -1/3 binary64)
0
#s(literal 0 binary64)
(+ (* (/ 1 x) -1/9) (- 1 (/ y (* 3 (sqrt x)))))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
-1/9
#s(literal -1/9 binary64)
(- 1 (/ y (* 3 (sqrt x))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(/ y (* 3 (sqrt x)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 0 binary64))
y
(* 3 (sqrt x))
(fma.f64 #s(literal 3 binary64) (sqrt.f64 x) #s(literal 0 binary64))
3
#s(literal 3 binary64)
(sqrt x)
(sqrt.f64 x)
(* (+ (* (+ 1 (/ 1 (* x (* x -81)))) (sqrt x)) (* (+ -1 (/ -1/9 x)) (* y 1/3))) (/ 1 (* (+ 1 (/ 1/9 x)) (sqrt x))))
(/.f64 (+.f64 (/.f64 #s(literal -1/81 binary64) (*.f64 x x)) (fma.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/27 binary64) x)) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(+ (* (+ 1 (/ 1 (* x (* x -81)))) (sqrt x)) (* (+ -1 (/ -1/9 x)) (* y 1/3)))
(fma.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/81 binary64) (*.f64 x x))) (fma.f64 y (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/27 binary64) x)) #s(literal 0 binary64)))
(+ 1 (/ 1 (* x (* x -81))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/81 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(/ 1 (* x (* x -81)))
(/.f64 #s(literal -1/81 binary64) (*.f64 x x))
(* x (* x -81))
(*.f64 x (*.f64 x #s(literal -81 binary64)))
x
(* x -81)
(*.f64 x #s(literal -81 binary64))
-81
#s(literal -81 binary64)
(sqrt x)
(sqrt.f64 x)
(* (+ -1 (/ -1/9 x)) (* y 1/3))
(fma.f64 y (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/27 binary64) x)) #s(literal 0 binary64))
(+ -1 (/ -1/9 x))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
-1/9
#s(literal -1/9 binary64)
(* y 1/3)
(fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64))
y
1/3
#s(literal 1/3 binary64)
(/ 1 (* (+ 1 (/ 1/9 x)) (sqrt x)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(* (+ 1 (/ 1/9 x)) (sqrt x))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(+ 1 (/ 1/9 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
1/9
#s(literal 1/9 binary64)

localize155.0ms (1.5%)

Memory
12.5MiB live, 327.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(/.f64 #s(literal 1/9 binary64) x)
✓accuracy99.4%
(/.f64 #s(literal -1/9 binary64) x)
✓accuracy92.3%
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (sqrt.f64 x) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 y #s(literal 1/3 binary64))))
✓accuracy86.6%
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (sqrt.f64 x) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 y #s(literal 1/3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x))))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓accuracy99.8%
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
✓accuracy99.7%
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓accuracy99.6%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓accuracy99.8%
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
✓accuracy99.5%
(fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
✓accuracy99.4%
(/.f64 #s(literal -1/9 binary64) x)
✓accuracy100.0%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓accuracy99.7%
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓accuracy99.6%
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
✓accuracy99.6%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
Samples
93.0ms256×0valid
Compiler

Compiled 259 to 45 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 19.0ms (29.1% of total)
ival-div: 15.0ms (22.9% of total)
const: 12.0ms (18.3% of total)
ival-add: 11.0ms (16.8% of total)
ival-sub: 4.0ms (6.1% of total)
ival-sqrt: 4.0ms (6.1% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
7.6MiB live, 46.4MiB allocated
Counts
18 → 312
Calls
Call 1
Inputs
#<alt (/ (/ 1 x) 9)>
#<alt (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x))))>
#<alt (- 1 (/ (/ 1 x) 9))>
#<alt (/ 1 x)>
#<alt (+ 1 (/ -1/9 x))>
#<alt (/ -1/9 x)>
#<alt (+ (* (sqrt (/ 1 x)) (+ (* y -1/3) 0)) 1)>
#<alt (sqrt (/ 1 x))>
#<alt (+ (* y -1/3) 0)>
#<alt (+ (* (/ 1 x) -1/9) (- 1 (/ y (* 3 (sqrt x)))))>
#<alt (- 1 (/ y (* 3 (sqrt x))))>
#<alt (/ y (* 3 (sqrt x)))>
#<alt (* (+ (* (+ 1 (/ 1 (* x (* x -81)))) (sqrt x)) (* (+ -1 (/ -1/9 x)) (* y 1/3))) (/ 1 (* (+ 1 (/ 1/9 x)) (sqrt x))))>
#<alt (/ 1 (* x (* x -81)))>
#<alt (* (+ -1 (/ -1/9 x)) (* y 1/3))>
#<alt (+ (* (+ 1 (/ 1 (* x (* x -81)))) (sqrt x)) (* (+ -1 (/ -1/9 x)) (* y 1/3)))>
#<alt (* 3 (sqrt x))>
#<alt (/ 1/9 x)>
Outputs
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)>
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)>
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (/ -1/9 x)>
#<alt (/ (+ (* -1/9 x) (* (sqrt (pow x 3)) (- (* -1/3 y) (* -1 (sqrt x))))) (pow x 2))>
#<alt (/ (+ (* -1/9 x) (* x (+ (* (sqrt x) (- (* -1/3 y) (* -1 (sqrt x)))) (* (sqrt (pow x 3)) (- (* 9 (+ (sqrt x) (* -1/3 y))) (* 9 (- (* -1/3 y) (* -1 (sqrt x))))))))) (pow x 2))>
#<alt (/ (+ (* -1/9 x) (* x (+ (* x (+ (* -9 (* (sqrt (pow x 3)) (- (* 9 (+ (sqrt x) (* -1/3 y))) (* 9 (- (* -1/3 y) (* -1 (sqrt x))))))) (* (sqrt x) (- (* 9 (+ (sqrt x) (* -1/3 y))) (* 9 (- (* -1/3 y) (* -1 (sqrt x)))))))) (* (sqrt x) (- (* -1/3 y) (* -1 (sqrt x))))))) (pow x 2))>
#<alt 1>
#<alt (* x (+ (* (sqrt (/ 1 (pow x 3))) (- (* -1/3 y) (* 1/9 (sqrt (/ 1 x))))) (/ 1 x)))>
#<alt (* x (+ (* (sqrt (/ 1 (pow x 3))) (- (* -1/3 y) (* 1/9 (sqrt (/ 1 x))))) (+ (* (sqrt (/ 1 (pow x 5))) (- (+ (* -1/27 y) (* -1/81 (sqrt (/ 1 x)))) (* 1/9 (- (* -1/3 y) (* 1/9 (sqrt (/ 1 x))))))) (/ 1 x))))>
#<alt (* x (+ (* -1/9 (* (sqrt (/ 1 (pow x 7))) (- (+ (* -1/27 y) (* -1/81 (sqrt (/ 1 x)))) (* 1/9 (- (* -1/3 y) (* 1/9 (sqrt (/ 1 x)))))))) (+ (* (sqrt (/ 1 (pow x 3))) (- (* -1/3 y) (* 1/9 (sqrt (/ 1 x))))) (+ (* (sqrt (/ 1 (pow x 5))) (- (+ (* -1/27 y) (* -1/81 (sqrt (/ 1 x)))) (* 1/9 (- (* -1/3 y) (* 1/9 (sqrt (/ 1 x))))))) (/ 1 x)))))>
#<alt 1>
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (* -1/3 (/ y (sqrt -1))) (* -1/9 (* (sqrt (/ 1 x)) (sqrt -1))))))) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (+ (* -1/81 (* (sqrt (/ 1 x)) (sqrt -1))) (* 1/27 (/ y (sqrt -1)))) (* -1/9 (- (* -1/3 (/ y (sqrt -1))) (* -1/9 (* (sqrt (/ 1 x)) (sqrt -1))))))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* -1/3 (/ y (sqrt -1))) (* -1/9 (* (sqrt (/ 1 x)) (sqrt -1))))))) x)) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (+ (* -1/81 (* (sqrt (/ 1 x)) (sqrt -1))) (* 1/27 (/ y (sqrt -1)))) (* -1/9 (- (* -1/3 (/ y (sqrt -1))) (* -1/9 (* (sqrt (/ 1 x)) (sqrt -1))))))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (- (+ (* -1/81 (* (sqrt (/ 1 x)) (sqrt -1))) (* 1/27 (/ y (sqrt -1)))) (* -1/9 (- (* -1/3 (/ y (sqrt -1))) (* -1/9 (* (sqrt (/ 1 x)) (sqrt -1))))))))) x)) (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* -1/3 (/ y (sqrt -1))) (* -1/9 (* (sqrt (/ 1 x)) (sqrt -1))))))) x)) (/ 1 x))))>
#<alt (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (+ 1 (* 1/9 (/ 1 x))))>
#<alt (- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (/ 1/81 (* (pow x 2) (+ 1 (* 1/9 (/ 1 x))))))>
#<alt (- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (/ 1/81 (* (pow x 2) (+ 1 (* 1/9 (/ 1 x))))))>
#<alt (- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (/ 1/81 (* (pow x 2) (+ 1 (* 1/9 (/ 1 x))))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 (* y (+ 1 (* 1/9 (/ 1 x)))))) (/ 1/81 (* (pow x 2) (* y (+ 1 (* 1/9 (/ 1 x))))))))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 (* y (+ 1 (* 1/9 (/ 1 x)))))) (/ 1/81 (* (pow x 2) (* y (+ 1 (* 1/9 (/ 1 x))))))))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 (* y (+ 1 (* 1/9 (/ 1 x)))))) (/ 1/81 (* (pow x 2) (* y (+ 1 (* 1/9 (/ 1 x))))))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (+ (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ 1 x)))) (* 1/81 (/ 1 (* (pow x 2) (+ 1 (* 1/9 (/ 1 x))))))) y)) (* 1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ 1 x)))) (* 1/81 (/ 1 (* (pow x 2) (+ 1 (* 1/9 (/ 1 x))))))) y)) (* 1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ 1 x)))) (* 1/81 (/ 1 (* (pow x 2) (+ 1 (* 1/9 (/ 1 x))))))) y)) (* 1/3 (sqrt (/ 1 x))))))>
#<alt (/ -1/81 (pow x 2))>
#<alt (/ -1/81 (pow x 2))>
#<alt (/ -1/81 (pow x 2))>
#<alt (/ -1/81 (pow x 2))>
#<alt (/ -1/81 (pow x 2))>
#<alt (/ -1/81 (pow x 2))>
#<alt (/ -1/81 (pow x 2))>
#<alt (/ -1/81 (pow x 2))>
#<alt (/ -1/81 (pow x 2))>
#<alt (/ -1/81 (pow x 2))>
#<alt (/ -1/81 (pow x 2))>
#<alt (/ -1/81 (pow x 2))>
#<alt (* -1/27 (/ y x))>
#<alt (/ (+ (* -1/3 (* x y)) (* -1/27 y)) x)>
#<alt (/ (+ (* -1/3 (* x y)) (* -1/27 y)) x)>
#<alt (/ (+ (* -1/3 (* x y)) (* -1/27 y)) x)>
#<alt (* -1/3 y)>
#<alt (+ (* -1/3 y) (* -1/27 (/ y x)))>
#<alt (+ (* -1/3 y) (* -1/27 (/ y x)))>
#<alt (+ (* -1/3 y) (* -1/27 (/ y x)))>
#<alt (* -1/3 y)>
#<alt (+ (* -1/3 y) (* -1/27 (/ y x)))>
#<alt (+ (* -1/3 y) (* -1/27 (/ y x)))>
#<alt (+ (* -1/3 y) (* -1/27 (/ y x)))>
#<alt (* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))>
#<alt (* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))>
#<alt (* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))>
#<alt (* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))>
#<alt (* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))>
#<alt (* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))>
#<alt (* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))>
#<alt (* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))>
#<alt (* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))>
#<alt (* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))>
#<alt (* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))>
#<alt (* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))>
#<alt (* -1/81 (sqrt (/ 1 (pow x 3))))>
#<alt (/ (+ (* -1/27 (* x y)) (* -1/81 (sqrt x))) (pow x 2))>
#<alt (/ (+ (* -1/81 (sqrt x)) (* x (+ (* -1/27 y) (* x (+ (sqrt x) (* -1/3 y)))))) (pow x 2))>
#<alt (/ (+ (* -1/81 (sqrt x)) (* x (+ (* -1/27 y) (* x (+ (sqrt x) (* -1/3 y)))))) (pow x 2))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* -1/3 (/ y x))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/3 (/ y x)) (+ (* -1/27 (/ y (pow x 2))) (* -1/81 (sqrt (/ 1 (pow x 5))))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/3 (/ y x)) (+ (* -1/27 (/ y (pow x 2))) (* -1/81 (sqrt (/ 1 (pow x 5))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/3 (/ y x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/81 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/27 y)) x)) (* -1/3 y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/81 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/27 y)) x)) (* -1/3 y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* (sqrt x) (- 1 (* 1/81 (/ 1 (pow x 2)))))>
#<alt (+ (* -1/3 (* y (+ 1 (* 1/9 (/ 1 x))))) (* (sqrt x) (- 1 (* 1/81 (/ 1 (pow x 2))))))>
#<alt (+ (* -1/3 (* y (+ 1 (* 1/9 (/ 1 x))))) (* (sqrt x) (- 1 (* 1/81 (/ 1 (pow x 2))))))>
#<alt (+ (* -1/3 (* y (+ 1 (* 1/9 (/ 1 x))))) (* (sqrt x) (- 1 (* 1/81 (/ 1 (pow x 2))))))>
#<alt (* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))>
#<alt (* y (+ (* -1/3 (+ 1 (* 1/9 (/ 1 x)))) (* (sqrt x) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) y))))>
#<alt (* y (+ (* -1/3 (+ 1 (* 1/9 (/ 1 x)))) (* (sqrt x) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) y))))>
#<alt (* y (+ (* -1/3 (+ 1 (* 1/9 (/ 1 x)))) (* (sqrt x) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) y))))>
#<alt (* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))>
#<alt (* -1 (* y (+ (* -1 (* (sqrt x) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) y))) (* 1/3 (+ 1 (* 1/9 (/ 1 x)))))))>
#<alt (* -1 (* y (+ (* -1 (* (sqrt x) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) y))) (* 1/3 (+ 1 (* 1/9 (/ 1 x)))))))>
#<alt (* -1 (* y (+ (* -1 (* (sqrt x) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) y))) (* 1/3 (+ 1 (* 1/9 (/ 1 x)))))))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
Calls

78 calls:

TimeVariablePointExpression
5.0ms
x
@0
(* (+ -1 (/ -1/9 x)) (* y 1/3))
2.0ms
x
@-inf
(+ (* (sqrt (/ 1 x)) (+ (* y -1/3) 0)) 1)
2.0ms
y
@0
(* (+ (* (+ 1 (/ 1 (* x (* x -81)))) (sqrt x)) (* (+ -1 (/ -1/9 x)) (* y 1/3))) (/ 1 (* (+ 1 (/ 1/9 x)) (sqrt x))))
1.0ms
y
@inf
(* (+ (* (+ 1 (/ 1 (* x (* x -81)))) (sqrt x)) (* (+ -1 (/ -1/9 x)) (* y 1/3))) (/ 1 (* (+ 1 (/ 1/9 x)) (sqrt x))))
1.0ms
x
@-inf
(* (+ (* (+ 1 (/ 1 (* x (* x -81)))) (sqrt x)) (* (+ -1 (/ -1/9 x)) (* y 1/3))) (/ 1 (* (+ 1 (/ 1/9 x)) (sqrt x))))

rewrite420.0ms (4.2%)

Memory
-7.9MiB live, 713.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 402×/-lowering-/.f32
4 402×/-lowering-/.f64
4 152×accelerator-lowering-fma.f32
4 152×accelerator-lowering-fma.f64
3 454×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043162
1266147
22810141
08327134
Stop Event
1×iter limit
1×node limit
Counts
18 → 958
Calls
Call 1
Inputs
(/ (/ 1 x) 9)
(- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x))))
(- 1 (/ (/ 1 x) 9))
(/ 1 x)
(+ 1 (/ -1/9 x))
(/ -1/9 x)
(+ (* (sqrt (/ 1 x)) (+ (* y -1/3) 0)) 1)
(sqrt (/ 1 x))
(+ (* y -1/3) 0)
(+ (* (/ 1 x) -1/9) (- 1 (/ y (* 3 (sqrt x)))))
(- 1 (/ y (* 3 (sqrt x))))
(/ y (* 3 (sqrt x)))
(* (+ (* (+ 1 (/ 1 (* x (* x -81)))) (sqrt x)) (* (+ -1 (/ -1/9 x)) (* y 1/3))) (/ 1 (* (+ 1 (/ 1/9 x)) (sqrt x))))
(/ 1 (* x (* x -81)))
(* (+ -1 (/ -1/9 x)) (* y 1/3))
(+ (* (+ 1 (/ 1 (* x (* x -81)))) (sqrt x)) (* (+ -1 (/ -1/9 x)) (* y 1/3)))
(* 3 (sqrt x))
(/ 1/9 x)
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 9 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal -9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 9 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
(/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -1/9 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 9 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(-.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x)))) (/.f64 (/.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (sqrt.f64 x))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x)))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (/.f64 (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y))) (*.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y)))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y)))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) y) (*.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y)) (*.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 x)) (*.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 y #s(literal 1/3 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (-.f64 #s(literal 0 binary64) y)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 y #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))))) (/.f64 (*.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))))))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (*.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))) (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 y (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x)))) (/.f64 #s(literal -1/9 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal -1/9 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) (*.f64 y (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 y (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) (*.f64 y (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))))) (*.f64 x (*.f64 (fma.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))))) (neg.f64 (-.f64 (*.f64 y (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))))))
(pow.f64 (/.f64 (fma.f64 x (*.f64 (fma.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (*.f64 y (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))) (-.f64 (*.f64 y (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))))) (fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 x (*.f64 (fma.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))) (*.f64 #s(literal 1/27 binary64) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 y (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))))) (-.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) (*.f64 y (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(*.f64 (fma.f64 y (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 x (*.f64 (fma.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))) (*.f64 #s(literal 1/27 binary64) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (fma.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (*.f64 y (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))) (-.f64 (*.f64 y (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))))))))
(*.f64 (-.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) (*.f64 y (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -1/81 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 y (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 9 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal -9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 9 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
(/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -1/9 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 9 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64))

simplify502.0ms (5%)

Memory
36.6MiB live, 934.0MiB allocated
Algorithm
1×egg-herbie
Rules
10 560×accelerator-lowering-fma.f32
10 560×accelerator-lowering-fma.f64
4 960×*-lowering-*.f32
4 960×*-lowering-*.f64
4 400×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02503252
17392982
223522920
371382916
082772746
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
Calls
Call 1
Inputs
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(* -1/3 (* (sqrt (/ 1 x)) y))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
1
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
1
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(/ -1/9 x)
(/ (+ (* -1/9 x) (* (sqrt (pow x 3)) (- (* -1/3 y) (* -1 (sqrt x))))) (pow x 2))
(/ (+ (* -1/9 x) (* x (+ (* (sqrt x) (- (* -1/3 y) (* -1 (sqrt x)))) (* (sqrt (pow x 3)) (- (* 9 (+ (sqrt x) (* -1/3 y))) (* 9 (- (* -1/3 y) (* -1 (sqrt x))))))))) (pow x 2))
(/ (+ (* -1/9 x) (* x (+ (* x (+ (* -9 (* (sqrt (pow x 3)) (- (* 9 (+ (sqrt x) (* -1/3 y))) (* 9 (- (* -1/3 y) (* -1 (sqrt x))))))) (* (sqrt x) (- (* 9 (+ (sqrt x) (* -1/3 y))) (* 9 (- (* -1/3 y) (* -1 (sqrt x)))))))) (* (sqrt x) (- (* -1/3 y) (* -1 (sqrt x))))))) (pow x 2))
1
(* x (+ (* (sqrt (/ 1 (pow x 3))) (- (* -1/3 y) (* 1/9 (sqrt (/ 1 x))))) (/ 1 x)))
(* x (+ (* (sqrt (/ 1 (pow x 3))) (- (* -1/3 y) (* 1/9 (sqrt (/ 1 x))))) (+ (* (sqrt (/ 1 (pow x 5))) (- (+ (* -1/27 y) (* -1/81 (sqrt (/ 1 x)))) (* 1/9 (- (* -1/3 y) (* 1/9 (sqrt (/ 1 x))))))) (/ 1 x))))
(* x (+ (* -1/9 (* (sqrt (/ 1 (pow x 7))) (- (+ (* -1/27 y) (* -1/81 (sqrt (/ 1 x)))) (* 1/9 (- (* -1/3 y) (* 1/9 (sqrt (/ 1 x)))))))) (+ (* (sqrt (/ 1 (pow x 3))) (- (* -1/3 y) (* 1/9 (sqrt (/ 1 x))))) (+ (* (sqrt (/ 1 (pow x 5))) (- (+ (* -1/27 y) (* -1/81 (sqrt (/ 1 x)))) (* 1/9 (- (* -1/3 y) (* 1/9 (sqrt (/ 1 x))))))) (/ 1 x)))))
1
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (* -1/3 (/ y (sqrt -1))) (* -1/9 (* (sqrt (/ 1 x)) (sqrt -1))))))) (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (+ (* -1/81 (* (sqrt (/ 1 x)) (sqrt -1))) (* 1/27 (/ y (sqrt -1)))) (* -1/9 (- (* -1/3 (/ y (sqrt -1))) (* -1/9 (* (sqrt (/ 1 x)) (sqrt -1))))))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* -1/3 (/ y (sqrt -1))) (* -1/9 (* (sqrt (/ 1 x)) (sqrt -1))))))) x)) (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (+ (* -1/81 (* (sqrt (/ 1 x)) (sqrt -1))) (* 1/27 (/ y (sqrt -1)))) (* -1/9 (- (* -1/3 (/ y (sqrt -1))) (* -1/9 (* (sqrt (/ 1 x)) (sqrt -1))))))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (- (+ (* -1/81 (* (sqrt (/ 1 x)) (sqrt -1))) (* 1/27 (/ y (sqrt -1)))) (* -1/9 (- (* -1/3 (/ y (sqrt -1))) (* -1/9 (* (sqrt (/ 1 x)) (sqrt -1))))))))) x)) (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* -1/3 (/ y (sqrt -1))) (* -1/9 (* (sqrt (/ 1 x)) (sqrt -1))))))) x)) (/ 1 x))))
(/ (- 1 (* 1/81 (/ 1 (pow x 2)))) (+ 1 (* 1/9 (/ 1 x))))
(- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (/ 1/81 (* (pow x 2) (+ 1 (* 1/9 (/ 1 x))))))
(- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (/ 1/81 (* (pow x 2) (+ 1 (* 1/9 (/ 1 x))))))
(- (+ (* -1/3 (* (sqrt (/ 1 x)) y)) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (/ 1/81 (* (pow x 2) (+ 1 (* 1/9 (/ 1 x))))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 (* y (+ 1 (* 1/9 (/ 1 x)))))) (/ 1/81 (* (pow x 2) (* y (+ 1 (* 1/9 (/ 1 x))))))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 (* y (+ 1 (* 1/9 (/ 1 x)))))) (/ 1/81 (* (pow x 2) (* y (+ 1 (* 1/9 (/ 1 x))))))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 (* y (+ 1 (* 1/9 (/ 1 x)))))) (/ 1/81 (* (pow x 2) (* y (+ 1 (* 1/9 (/ 1 x))))))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (+ (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ 1 x)))) (* 1/81 (/ 1 (* (pow x 2) (+ 1 (* 1/9 (/ 1 x))))))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ 1 x)))) (* 1/81 (/ 1 (* (pow x 2) (+ 1 (* 1/9 (/ 1 x))))))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* -1 (/ (- (/ 1 (+ 1 (* 1/9 (/ 1 x)))) (* 1/81 (/ 1 (* (pow x 2) (+ 1 (* 1/9 (/ 1 x))))))) y)) (* 1/3 (sqrt (/ 1 x))))))
(/ -1/81 (pow x 2))
(/ -1/81 (pow x 2))
(/ -1/81 (pow x 2))
(/ -1/81 (pow x 2))
(/ -1/81 (pow x 2))
(/ -1/81 (pow x 2))
(/ -1/81 (pow x 2))
(/ -1/81 (pow x 2))
(/ -1/81 (pow x 2))
(/ -1/81 (pow x 2))
(/ -1/81 (pow x 2))
(/ -1/81 (pow x 2))
(* -1/27 (/ y x))
(/ (+ (* -1/3 (* x y)) (* -1/27 y)) x)
(/ (+ (* -1/3 (* x y)) (* -1/27 y)) x)
(/ (+ (* -1/3 (* x y)) (* -1/27 y)) x)
(* -1/3 y)
(+ (* -1/3 y) (* -1/27 (/ y x)))
(+ (* -1/3 y) (* -1/27 (/ y x)))
(+ (* -1/3 y) (* -1/27 (/ y x)))
(* -1/3 y)
(+ (* -1/3 y) (* -1/27 (/ y x)))
(+ (* -1/3 y) (* -1/27 (/ y x)))
(+ (* -1/3 y) (* -1/27 (/ y x)))
(* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))
(* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))
(* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))
(* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))
(* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))
(* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))
(* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))
(* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))
(* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))
(* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))
(* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))
(* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))
(* -1/81 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/27 (* x y)) (* -1/81 (sqrt x))) (pow x 2))
(/ (+ (* -1/81 (sqrt x)) (* x (+ (* -1/27 y) (* x (+ (sqrt x) (* -1/3 y)))))) (pow x 2))
(/ (+ (* -1/81 (sqrt x)) (* x (+ (* -1/27 y) (* x (+ (sqrt x) (* -1/3 y)))))) (pow x 2))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* -1/3 (/ y x))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/3 (/ y x)) (+ (* -1/27 (/ y (pow x 2))) (* -1/81 (sqrt (/ 1 (pow x 5))))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/3 (/ y x)) (+ (* -1/27 (/ y (pow x 2))) (* -1/81 (sqrt (/ 1 (pow x 5))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/3 (/ y x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/81 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/27 y)) x)) (* -1/3 y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/81 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/27 y)) x)) (* -1/3 y)) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* (sqrt x) (- 1 (* 1/81 (/ 1 (pow x 2)))))
(+ (* -1/3 (* y (+ 1 (* 1/9 (/ 1 x))))) (* (sqrt x) (- 1 (* 1/81 (/ 1 (pow x 2))))))
(+ (* -1/3 (* y (+ 1 (* 1/9 (/ 1 x))))) (* (sqrt x) (- 1 (* 1/81 (/ 1 (pow x 2))))))
(+ (* -1/3 (* y (+ 1 (* 1/9 (/ 1 x))))) (* (sqrt x) (- 1 (* 1/81 (/ 1 (pow x 2))))))
(* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))
(* y (+ (* -1/3 (+ 1 (* 1/9 (/ 1 x)))) (* (sqrt x) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) y))))
(* y (+ (* -1/3 (+ 1 (* 1/9 (/ 1 x)))) (* (sqrt x) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) y))))
(* y (+ (* -1/3 (+ 1 (* 1/9 (/ 1 x)))) (* (sqrt x) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) y))))
(* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))
(* -1 (* y (+ (* -1 (* (sqrt x) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) y))) (* 1/3 (+ 1 (* 1/9 (/ 1 x)))))))
(* -1 (* y (+ (* -1 (* (sqrt x) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) y))) (* 1/3 (+ 1 (* 1/9 (/ 1 x)))))))
(* -1 (* y (+ (* -1 (* (sqrt x) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) y))) (* 1/3 (+ 1 (* 1/9 (/ 1 x)))))))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
Outputs
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 y (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) (*.f64 x y))) #s(literal 1 binary64))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 y (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) (*.f64 x y))) #s(literal 1 binary64))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 y (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) (*.f64 x y))) #s(literal 1 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 y (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) (*.f64 x y))) #s(literal 1 binary64))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 y (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) (*.f64 x y))) #s(literal 1 binary64))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 y (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) (*.f64 x y))) #s(literal 1 binary64))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
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(fma.f64 y (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/27 binary64) x)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/81 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
(* y (+ (* -1/3 (+ 1 (* 1/9 (/ 1 x)))) (* (sqrt x) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) y))))
(fma.f64 y (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/27 binary64) x)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/81 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
(* y (+ (* -1/3 (+ 1 (* 1/9 (/ 1 x)))) (* (sqrt x) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) y))))
(fma.f64 y (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/27 binary64) x)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/81 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
(* -1/3 (* y (+ 1 (* 1/9 (/ 1 x)))))
(*.f64 y (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/27 binary64) x)))
(* -1 (* y (+ (* -1 (* (sqrt x) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) y))) (* 1/3 (+ 1 (* 1/9 (/ 1 x)))))))
(fma.f64 y (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/27 binary64) x)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/81 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
(* -1 (* y (+ (* -1 (* (sqrt x) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) y))) (* 1/3 (+ 1 (* 1/9 (/ 1 x)))))))
(fma.f64 y (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/27 binary64) x)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/81 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
(* -1 (* y (+ (* -1 (* (sqrt x) (/ (- 1 (* 1/81 (/ 1 (pow x 2)))) y))) (* 1/3 (+ 1 (* 1/9 (/ 1 x)))))))
(fma.f64 y (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/27 binary64) x)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/81 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)

eval564.0ms (5.6%)

Memory
-1.8MiB live, 400.4MiB allocated
Compiler

Compiled 39 749 to 2 713 computations (93.2% saved)

prune199.0ms (2%)

Memory
-6.9MiB live, 371.8MiB allocated
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New1 444151 459
Fresh549
Picked415
Done101
Total1 454201 474
Accuracy
100.0%
Counts
1 474 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶30.3%
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
65.7%
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
64.3%
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
60.6%
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64))
46.0%
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 y #s(literal -1/3 binary64) (sqrt.f64 x)) (*.f64 x #s(literal -1/9 binary64))) (*.f64 x x))
64.4%
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
45.3%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
34.7%
(/.f64 #s(literal -1/9 binary64) x)
68.1%
(-.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶99.6%
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.6%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶95.9%
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))
64.4%
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
30.3%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
▶64.3%
(+.f64 (/.f64 (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
65.7%
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
65.8%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
✓65.7%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
35.9%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
▶30.3%
#s(literal 1 binary64)
Compiler

Compiled 451 to 328 computations (27.3% saved)

simplify473.0ms (4.7%)

Memory
-35.6MiB live, 646.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
✓cost-diff0
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64))
✓cost-diff0
(/.f64 (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) (sqrt.f64 x))
✓cost-diff192
(+.f64 (/.f64 (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff192
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
✓cost-diff0
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓cost-diff192
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓cost-diff12608
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
Rules
15 920×accelerator-lowering-fma.f32
15 920×accelerator-lowering-fma.f64
2 488×*-lowering-*.f32
2 488×*-lowering-*.f64
1 776×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031136
158130
2109130
3187124
4349124
5711124
61610124
72525124
84357124
95531124
106191124
116799124
126927124
137103124
147491124
157661124
167749124
08049119
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (- 1 (pow (pow (* x 9) -1/2) 2)) (/ y (* 3 (sqrt x))))
(- 1 (pow (pow (* x 9) -1/2) 2))
1
(pow (pow (* x 9) -1/2) 2)
(pow (* x 9) -1/2)
(* x 9)
x
9
-1/2
2
(/ y (* 3 (sqrt x)))
y
(* 3 (sqrt x))
3
(sqrt x)
1
(+ (* (/ 1 x) 1/9) 1)
(/ 1 x)
1
x
1/9
(+ (/ (+ (* y -1/3) 0) (sqrt x)) 1)
(/ (+ (* y -1/3) 0) (sqrt x))
(+ (* y -1/3) 0)
y
-1/3
0
(sqrt x)
x
1
(- 1 (/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x))
1
(/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x)
(+ (* 1/3 (* (sqrt x) y)) 1/9)
1/3
(* (sqrt x) y)
(sqrt x)
x
y
1/9
Outputs
(- (- 1 (pow (pow (* x 9) -1/2) 2)) (/ y (* 3 (sqrt x))))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- 1 (pow (pow (* x 9) -1/2) 2))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(pow (pow (* x 9) -1/2) 2)
(/.f64 #s(literal 1/9 binary64) x)
(pow (* x 9) -1/2)
(pow.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* x 9)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
x
9
#s(literal 9 binary64)
-1/2
#s(literal -1/2 binary64)
2
#s(literal 2 binary64)
(/ y (* 3 (sqrt x)))
(fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 0 binary64))
y
(* 3 (sqrt x))
(fma.f64 #s(literal 3 binary64) (sqrt.f64 x) #s(literal 0 binary64))
3
#s(literal 3 binary64)
(sqrt x)
(sqrt.f64 x)
1
#s(literal 1 binary64)
(+ (* (/ 1 x) 1/9) 1)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
1/9
#s(literal 1/9 binary64)
(+ (/ (+ (* y -1/3) 0) (sqrt x)) 1)
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(/ (+ (* y -1/3) 0) (sqrt x))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 0 binary64))
(+ (* y -1/3) 0)
(fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64))
y
-1/3
#s(literal -1/3 binary64)
0
#s(literal 0 binary64)
(sqrt x)
(sqrt.f64 x)
x
1
#s(literal 1 binary64)
(- 1 (/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal -1/9 binary64)) x))
1
#s(literal 1 binary64)
(/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x)
(/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64)) x)
(+ (* 1/3 (* (sqrt x) y)) 1/9)
(fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64))
1/3
#s(literal 1/3 binary64)
(* (sqrt x) y)
(fma.f64 y (sqrt.f64 x) #s(literal 0 binary64))
(sqrt x)
(sqrt.f64 x)
x
y
1/9
#s(literal 1/9 binary64)

localize116.0ms (1.2%)

Memory
21.5MiB live, 211.0MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))
✓accuracy99.7%
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))
✓accuracy99.6%
(*.f64 (sqrt.f64 x) y)
✓accuracy95.9%
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy100.0%
(+.f64 (/.f64 (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
✓accuracy99.5%
(/.f64 (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) (sqrt.f64 x))
✓accuracy99.5%
(fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.7%
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
✓accuracy99.7%
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))
✓accuracy99.7%
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓accuracy99.6%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓accuracy99.2%
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
Samples
74.0ms256×0valid
Compiler

Compiled 139 to 33 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
const: 14.0ms (24.7% of total)
ival-div: 9.0ms (15.9% of total)
ival-mult: 9.0ms (15.9% of total)
ival-sub: 7.0ms (12.4% of total)
ival-pow: 7.0ms (12.4% of total)
ival-add: 5.0ms (8.8% of total)
ival-pow2: 3.0ms (5.3% of total)
ival-sqrt: 2.0ms (3.5% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
16.8MiB live, 16.8MiB allocated
Counts
16 → 288
Calls
Call 1
Inputs
#<alt (pow (pow (* x 9) -1/2) 2)>
#<alt (- (- 1 (pow (pow (* x 9) -1/2) 2)) (/ y (* 3 (sqrt x))))>
#<alt (- 1 (pow (pow (* x 9) -1/2) 2))>
#<alt (pow (* x 9) -1/2)>
#<alt (+ (* (/ 1 x) 1/9) 1)>
#<alt (/ 1 x)>
#<alt (+ (/ (+ (* y -1/3) 0) (sqrt x)) 1)>
#<alt (/ (+ (* y -1/3) 0) (sqrt x))>
#<alt (+ (* y -1/3) 0)>
#<alt (sqrt x)>
#<alt (- 1 (/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x))>
#<alt (/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (+ (* 1/3 (* (sqrt x) y)) 1/9)>
#<alt (* 3 (sqrt x))>
#<alt (/ y (* 3 (sqrt x)))>
#<alt (* (sqrt x) y)>
Outputs
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (* -1 (/ (pow (sqrt -1/9) 2) x))>
#<alt (* -1 (/ (pow (sqrt -1/9) 2) x))>
#<alt (* -1 (/ (pow (sqrt -1/9) 2) x))>
#<alt (* -1 (/ (pow (sqrt -1/9) 2) x))>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- (+ 1 (/ (pow (sqrt -1/9) 2) x)) (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- (+ 1 (/ (pow (sqrt -1/9) 2) x)) (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- (+ 1 (/ (pow (sqrt -1/9) 2) x)) (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (/ (pow (sqrt -1/9) 2) x))>
#<alt (+ 1 (/ (pow (sqrt -1/9) 2) x))>
#<alt (+ 1 (/ (pow (sqrt -1/9) 2) x))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* 1/3 (sqrt (/ 1 x)))>
#<alt (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9)))>
#<alt (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9)))>
#<alt (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9)))>
#<alt (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9)))>
#<alt (/ 1/9 x)>
#<alt (/ (+ 1/9 x) x)>
#<alt (/ (+ 1/9 x) x)>
#<alt (/ (+ 1/9 x) x)>
#<alt 1>
#<alt (+ 1 (* 1/9 (/ 1 x)))>
#<alt (+ 1 (* 1/9 (/ 1 x)))>
#<alt (+ 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* 1/9 (/ 1 x)))>
#<alt (+ 1 (* 1/9 (/ 1 x)))>
#<alt (+ 1 (* 1/9 (/ 1 x)))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt 1>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))>
#<alt (- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))>
#<alt (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))>
#<alt (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))>
#<alt (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))>
#<alt (/ 1/9 x)>
#<alt (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))>
#<alt (* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))>
#<alt (* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))>
#<alt (+ 1/9 (* 1/3 (* (sqrt x) y)))>
#<alt (+ 1/9 (* 1/3 (* (sqrt x) y)))>
#<alt (+ 1/9 (* 1/3 (* (sqrt x) y)))>
#<alt (+ 1/9 (* 1/3 (* (sqrt x) y)))>
#<alt (* 1/3 (* (sqrt x) y))>
#<alt (* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))>
#<alt 1/9>
#<alt (+ 1/9 (* 1/3 (* (sqrt x) y)))>
#<alt (+ 1/9 (* 1/3 (* (sqrt x) y)))>
#<alt (+ 1/9 (* 1/3 (* (sqrt x) y)))>
#<alt (* 1/3 (* (sqrt x) y))>
#<alt (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))>
#<alt (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))>
#<alt (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))>
#<alt (* 1/3 (* (sqrt x) y))>
#<alt (* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))>
#<alt (* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))>
#<alt (* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
Calls

72 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(pow (pow (* x 9) -1/2) 2)
1.0ms
x
@-inf
(- 1 (/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x))
1.0ms
x
@0
(pow (* x 9) -1/2)
0.0ms
x
@-inf
(pow (* x 9) -1/2)
0.0ms
y
@0
(/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x)

rewrite523.0ms (5.2%)

Memory
17.9MiB live, 876.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 218×accelerator-lowering-fma.f32
9 218×accelerator-lowering-fma.f64
5 002×/-lowering-/.f32
5 002×/-lowering-/.f64
3 932×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031102
118896
2175296
0862191
Stop Event
1×iter limit
1×node limit
Counts
16 → 885
Calls
Call 1
Inputs
(pow (pow (* x 9) -1/2) 2)
(- (- 1 (pow (pow (* x 9) -1/2) 2)) (/ y (* 3 (sqrt x))))
(- 1 (pow (pow (* x 9) -1/2) 2))
(pow (* x 9) -1/2)
(+ (* (/ 1 x) 1/9) 1)
(/ 1 x)
(+ (/ (+ (* y -1/3) 0) (sqrt x)) 1)
(/ (+ (* y -1/3) 0) (sqrt x))
(+ (* y -1/3) 0)
(sqrt x)
(- 1 (/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x))
(/ (+ (* 1/3 (* (sqrt x) y)) 1/9) x)
(+ (* 1/3 (* (sqrt x) y)) 1/9)
(* 3 (sqrt x))
(/ y (* 3 (sqrt x)))
(* (sqrt x) y)
Outputs
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 9 binary64)))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal 9 binary64)))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 9 binary64))))
(/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal 9 binary64))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal 9 binary64))) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal 9 binary64)))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 x #s(literal 9 binary64)))))
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/9 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/4 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 9 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 #s(literal 9 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -3/4 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 9 binary64)) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 9 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/4 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 y y) #s(literal 0 binary64)) x)))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 27 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 y y) #s(literal 0 binary64)) x)))))
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(*.f64 (neg.f64 (fma.f64 x (fma.f64 #s(literal 1/9 binary64) (*.f64 y y) #s(literal 0 binary64)) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))))
(*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 x (fma.f64 #s(literal 1/9 binary64) (*.f64 y y) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))
(-.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(neg.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 x) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (sqrt.f64 x))))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) (sqrt.f64 x))
(/.f64 (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(/.f64 (neg.f64 (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y))) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(*.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1/3 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))
(*.f64 (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (neg.f64 (fma.f64 y #s(literal 1/3 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/27 binary64) #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/9 binary64) (*.f64 y y) #s(literal 0 binary64))) (sqrt.f64 x)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 y y) #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64))) (sqrt.f64 x)))
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)

simplify290.0ms (2.9%)

Memory
6.5MiB live, 488.4MiB allocated
Algorithm
1×egg-herbie
Rules
6 834×accelerator-lowering-fma.f32
6 834×accelerator-lowering-fma.f64
3 550×*-lowering-*.f32
3 550×*-lowering-*.f64
2 588×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032137
12882137
27962123
322232123
454492123
081352023
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* -1 (/ (pow (sqrt -1/9) 2) x))
(* -1 (/ (pow (sqrt -1/9) 2) x))
(* -1 (/ (pow (sqrt -1/9) 2) x))
(* -1 (/ (pow (sqrt -1/9) 2) x))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (/ (pow (sqrt -1/9) 2) x)) (* 1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (/ (pow (sqrt -1/9) 2) x)) (* 1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (/ (pow (sqrt -1/9) 2) x)) (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(+ 1 (/ (pow (sqrt -1/9) 2) x))
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(* 1/3 (sqrt (/ 1 x)))
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(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
(* 1/3 (sqrt (/ 1 x)))
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(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9)))
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9)))
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9)))
(/ 1/9 x)
(/ (+ 1/9 x) x)
(/ (+ 1/9 x) x)
(/ (+ 1/9 x) x)
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(+ 1 (* 1/9 (/ 1 x)))
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1
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(+ 1 (* 1/9 (/ 1 x)))
(+ 1 (* 1/9 (/ 1 x)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
1
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(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
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(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
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(* -1/3 y)
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(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
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(sqrt x)
(sqrt x)
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(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)
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(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
1/9
(+ 1/9 (* 1/3 (* (sqrt x) y)))
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(* 1/3 (* (sqrt x) y))
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(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
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(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
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(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
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(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
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(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
Outputs
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (pow (sqrt -1/9) 2) x))
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (pow (sqrt -1/9) 2) x))
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (pow (sqrt -1/9) 2) x))
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (pow (sqrt -1/9) 2) x))
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- (+ 1 (/ (pow (sqrt -1/9) 2) x)) (* 1/3 (* (sqrt (/ 1 x)) y)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (/ (pow (sqrt -1/9) 2) x)) (* 1/3 (* (sqrt (/ 1 x)) y)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (/ (pow (sqrt -1/9) 2) x)) (* 1/3 (* (sqrt (/ 1 x)) y)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (/ (pow (sqrt -1/9) 2) x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(+ 1 (/ (pow (sqrt -1/9) 2) x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(+ 1 (/ (pow (sqrt -1/9) 2) x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(* 1/3 (sqrt (/ 1 x)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(* 1/3 (sqrt (/ 1 x)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(* 1/3 (sqrt (/ 1 x)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(* 1/3 (sqrt (/ 1 x)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(* 1/3 (sqrt (/ 1 x)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(* 1/3 (sqrt (/ 1 x)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(* 1/3 (sqrt (/ 1 x)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(* 1/3 (sqrt (/ 1 x)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9)))
(*.f64 (sqrt.f64 #s(literal -1/9 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9)))
(*.f64 (sqrt.f64 #s(literal -1/9 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9)))
(*.f64 (sqrt.f64 #s(literal -1/9 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9)))
(*.f64 (sqrt.f64 #s(literal -1/9 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 x) x)
(/.f64 (+.f64 #s(literal 1/9 binary64) x) x)
(/ (+ 1/9 x) x)
(/.f64 (+.f64 #s(literal 1/9 binary64) x) x)
(/ (+ 1/9 x) x)
(/.f64 (+.f64 #s(literal 1/9 binary64) x) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(+ 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(+ 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(+ 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(+ 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(fma.f64 (sqrt.f64 x) (/.f64 (*.f64 y #s(literal -1/3 binary64)) x) #s(literal 1 binary64))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(fma.f64 (sqrt.f64 x) (/.f64 (*.f64 y #s(literal -1/3 binary64)) x) #s(literal 1 binary64))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(fma.f64 (sqrt.f64 x) (/.f64 (*.f64 y #s(literal -1/3 binary64)) x) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(* -1/3 y)
(*.f64 y #s(literal -1/3 binary64))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
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(* (sqrt x) y)
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64))
(* (sqrt x) y)
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64))
(* (sqrt x) y)
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64))
(* (sqrt x) y)
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64))
(* (sqrt x) y)
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64))
(* (sqrt x) y)
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64))
(* (sqrt x) y)
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64))
(* (sqrt x) y)
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64))
(* (sqrt x) y)
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64))
(* (sqrt x) y)
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64))
(* (sqrt x) y)
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64))
(* (sqrt x) y)
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64))
(* (sqrt x) y)
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64))
(* (sqrt x) y)
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64))
(* (sqrt x) y)
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64))

eval163.0ms (1.6%)

Memory
-1.3MiB live, 345.4MiB allocated
Compiler

Compiled 25 344 to 2 667 computations (89.5% saved)

prune146.0ms (1.5%)

Memory
30.5MiB live, 338.5MiB allocated
Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New1 21871 225
Fresh31114
Picked325
Done011
Total1 224211 245
Accuracy
100.0%
Counts
1 245 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓30.3%
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
65.7%
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
64.3%
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
64.3%
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
▶60.6%
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64))
64.3%
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
64.4%
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
45.3%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
3.1%
(/.f64 #s(literal 1/9 binary64) x)
▶34.7%
(/.f64 #s(literal -1/9 binary64) x)
▶95.9%
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64)) x))
74.6%
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 #s(literal 1/9 binary64) (*.f64 y y) #s(literal 0 binary64)) #s(literal -1/81 binary64)) (*.f64 x (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))))
64.4%
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
30.3%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
74.6%
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/9 binary64) (*.f64 y y) #s(literal 0 binary64)) #s(literal -1/81 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))))
▶64.3%
(+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
65.7%
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
▶65.8%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
✓65.7%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
35.9%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
✓30.3%
#s(literal 1 binary64)
Compiler

Compiled 438 to 327 computations (25.3% saved)

simplify127.0ms (1.3%)

Memory
-16.5MiB live, 102.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 (sqrt.f64 x) y)
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(/.f64 (*.f64 (sqrt.f64 x) y) x)
✓cost-diff0
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64))
✓cost-diff-64
(*.f64 y #s(literal -1/3 binary64))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))
✓cost-diff192
(+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
✓cost-diff-64
(*.f64 x #s(literal -9 binary64))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
✓cost-diff384
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
✓cost-diff0
(/.f64 #s(literal -1/9 binary64) x)
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64))
✓cost-diff0
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64)) x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64)) x))
Rules
1 632×accelerator-lowering-fma.f32
1 632×accelerator-lowering-fma.f64
960×*-lowering-*.f32
960×*-lowering-*.f64
630×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025111
149109
277109
3107109
4160109
5236109
6393109
7706109
81031109
91291109
101985109
112714109
122859109
132915109
142919109
152922109
162923109
172923109
02923104
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- 1 (/ (+ (* (* (sqrt x) 1/3) y) 1/9) x))
1
(/ (+ (* (* (sqrt x) 1/3) y) 1/9) x)
(+ (* (* (sqrt x) 1/3) y) 1/9)
(* (sqrt x) 1/3)
(sqrt x)
x
1/3
y
1/9
(/ -1/9 x)
-1/9
x
(+ 1 (/ 1 (* x -9)))
1
(/ 1 (* x -9))
(* x -9)
x
-9
(+ (/ (* y -1/3) (sqrt x)) 1)
(/ (* y -1/3) (sqrt x))
(* y -1/3)
y
-1/3
(sqrt x)
x
1
(+ (* -1/3 (/ (* (sqrt x) y) x)) 1)
-1/3
(/ (* (sqrt x) y) x)
(* (sqrt x) y)
(sqrt x)
x
y
1
Outputs
(- 1 (/ (+ (* (* (sqrt x) 1/3) y) 1/9) x))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 1/9 binary64)) x))
1
#s(literal 1 binary64)
(/ (+ (* (* (sqrt x) 1/3) y) 1/9) x)
(/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 1/9 binary64)) x)
(+ (* (* (sqrt x) 1/3) y) 1/9)
(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/3 binary64) y #s(literal 0 binary64)) #s(literal 1/9 binary64))
(* (sqrt x) 1/3)
(fma.f64 (sqrt.f64 x) #s(literal 1/3 binary64) #s(literal 0 binary64))
(sqrt x)
(sqrt.f64 x)
x
1/3
#s(literal 1/3 binary64)
y
1/9
#s(literal 1/9 binary64)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
-1/9
#s(literal -1/9 binary64)
x
(+ 1 (/ 1 (* x -9)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(/ 1 (* x -9))
(/.f64 #s(literal -1/9 binary64) x)
(* x -9)
(fma.f64 x #s(literal -9 binary64) #s(literal 0 binary64))
x
-9
#s(literal -9 binary64)
(+ (/ (* y -1/3) (sqrt x)) 1)
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(/ (* y -1/3) (sqrt x))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 0 binary64))
(* y -1/3)
(fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64))
y
-1/3
#s(literal -1/3 binary64)
(sqrt x)
(sqrt.f64 x)
x
1
#s(literal 1 binary64)
(+ (* -1/3 (/ (* (sqrt x) y) x)) 1)
(fma.f64 (sqrt.f64 x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) x) #s(literal 0 binary64)) #s(literal 1 binary64))
-1/3
#s(literal -1/3 binary64)
(/ (* (sqrt x) y) x)
(fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal 0 binary64))
(* (sqrt x) y)
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64))
(sqrt x)
(sqrt.f64 x)
x
y
1
#s(literal 1 binary64)

localize100.0ms (1%)

Memory
-33.7MiB live, 156.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.7%
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64))
✓accuracy99.6%
(*.f64 (sqrt.f64 x) y)
✓accuracy90.8%
(/.f64 (*.f64 (sqrt.f64 x) y) x)
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy100.0%
(+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
✓accuracy99.5%
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))
✓accuracy99.5%
(*.f64 y #s(literal -1/3 binary64))
✓accuracy100.0%
(*.f64 x #s(literal -9 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
✓accuracy99.4%
(/.f64 #s(literal -1/9 binary64) x)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64)) x))
✓accuracy99.8%
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64))
✓accuracy99.4%
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
✓accuracy95.9%
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64)) x)
Samples
68.0ms256×0valid
Compiler

Compiled 111 to 27 computations (75.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-div: 21.0ms (39.7% of total)
const: 13.0ms (24.6% of total)
ival-mult: 9.0ms (17% of total)
ival-add: 5.0ms (9.5% of total)
ival-sqrt: 2.0ms (3.8% of total)
ival-sub: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
17.0MiB live, 17.0MiB allocated
Counts
15 → 276
Calls
Call 1
Inputs
#<alt (- 1 (/ (+ (* (* (sqrt x) 1/3) y) 1/9) x))>
#<alt (/ (+ (* (* (sqrt x) 1/3) y) 1/9) x)>
#<alt (+ (* (* (sqrt x) 1/3) y) 1/9)>
#<alt (sqrt x)>
#<alt (/ -1/9 x)>
#<alt (/ 1 (* x -9))>
#<alt (+ 1 (/ 1 (* x -9)))>
#<alt (* x -9)>
#<alt (+ (/ (* y -1/3) (sqrt x)) 1)>
#<alt (/ (* y -1/3) (sqrt x))>
#<alt (* y -1/3)>
#<alt (+ (* -1/3 (/ (* (sqrt x) y) x)) 1)>
#<alt (/ (* (sqrt x) y) x)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) 1/3)>
Outputs
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))>
#<alt (- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))>
#<alt (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))>
#<alt (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))>
#<alt (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))>
#<alt (/ 1/9 x)>
#<alt (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))>
#<alt (* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))>
#<alt (* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))>
#<alt (+ 1/9 (* 1/3 (* (sqrt x) y)))>
#<alt (+ 1/9 (* 1/3 (* (sqrt x) y)))>
#<alt (+ 1/9 (* 1/3 (* (sqrt x) y)))>
#<alt (+ 1/9 (* 1/3 (* (sqrt x) y)))>
#<alt (* 1/3 (* (sqrt x) y))>
#<alt (* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))>
#<alt 1/9>
#<alt (+ 1/9 (* 1/3 (* (sqrt x) y)))>
#<alt (+ 1/9 (* 1/3 (* (sqrt x) y)))>
#<alt (+ 1/9 (* 1/3 (* (sqrt x) y)))>
#<alt (* 1/3 (* (sqrt x) y))>
#<alt (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))>
#<alt (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))>
#<alt (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))>
#<alt (* 1/3 (* (sqrt x) y))>
#<alt (* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))>
#<alt (* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))>
#<alt (* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt 1>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* 1/3 (sqrt x))>
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))>
Calls

69 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(* x -9)
0.0ms
x
@-inf
(* (sqrt x) 1/3)
0.0ms
x
@-inf
(* x -9)
0.0ms
y
@-inf
(* y -1/3)
0.0ms
y
@inf
(* y -1/3)

rewrite441.0ms (4.4%)

Memory
-26.5MiB live, 575.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 408×*-lowering-*.f32
5 408×*-lowering-*.f64
4 508×/-lowering-/.f32
4 508×/-lowering-/.f64
3 280×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02587
113985
2109484
0843979
Stop Event
1×iter limit
1×node limit
Counts
15 → 410
Calls
Call 1
Inputs
(- 1 (/ (+ (* (* (sqrt x) 1/3) y) 1/9) x))
(/ (+ (* (* (sqrt x) 1/3) y) 1/9) x)
(+ (* (* (sqrt x) 1/3) y) 1/9)
(sqrt x)
(/ -1/9 x)
(/ 1 (* x -9))
(+ 1 (/ 1 (* x -9)))
(* x -9)
(+ (/ (* y -1/3) (sqrt x)) 1)
(/ (* y -1/3) (sqrt x))
(* y -1/3)
(+ (* -1/3 (/ (* (sqrt x) y) x)) 1)
(/ (* (sqrt x) y) x)
(* (sqrt x) y)
(* (sqrt x) 1/3)
Outputs
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) x)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) x) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)))) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) x) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) x))) (/.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) x)))) (/.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) x)))))
(fma.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) #s(literal 1/81 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 1/9 binary64)))) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) #s(literal -1/81 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal -1/9 binary64))) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) x) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)))) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64))) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) x) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)))) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64))) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)))) (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) x) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)))) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64))) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64))) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64))) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)))) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) x) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)))) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64))) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64)) x)))))))
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(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 y (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/3 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) x) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1/27 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) x) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) x) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1/27 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) x) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1/27 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64)) (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) x) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1/27 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) x) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) x) #s(literal -1 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1/27 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) x) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1/27 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) x) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (*.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1/27 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) x) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))))
(pow.f64 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) x) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1/27 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) x) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1/27 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) x) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 (sqrt.f64 x) y))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 (sqrt.f64 x) y)))))
(/.f64 (*.f64 (sqrt.f64 x) y) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (sqrt.f64 x) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) y))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) y)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 y (/.f64 (sqrt.f64 x) x))
(*.f64 (*.f64 (sqrt.f64 x) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)))
(*.f64 (/.f64 y x) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 y x))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) x))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) x))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))

simplify319.0ms (3.2%)

Memory
33.1MiB live, 422.6MiB allocated
Algorithm
1×egg-herbie
Rules
6 574×accelerator-lowering-fma.f32
6 574×accelerator-lowering-fma.f64
3 320×*-lowering-*.f32
3 320×*-lowering-*.f64
2 354×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931914
12651914
27581901
320811901
451721901
578141901
080141802
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
(- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
(- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)
(* 1/3 (* (sqrt (/ 1 x)) y))
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(/ 1/9 x)
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(* 1/3 (* (sqrt x) y))
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
1/9
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(* 1/3 (* (sqrt x) y))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* 1/3 (* (sqrt x) y))
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
1
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 (* (sqrt (/ 1 x)) y))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
1
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* 1/3 (sqrt x))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 0 binary64))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) #s(literal 1/9 binary64)) x)
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) #s(literal 1/9 binary64)) x)
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) #s(literal 1/9 binary64)) x)
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) #s(literal 1/9 binary64)) x)
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) #s(literal 0 binary64))
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) #s(literal 0 binary64))
(+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) #s(literal 0 binary64))
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(* 1/3 (* (sqrt (/ 1 x)) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) #s(literal 0 binary64))
(* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/9 binary64) x))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) #s(literal 1/9 binary64))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) #s(literal 1/9 binary64))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) #s(literal 1/9 binary64))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) #s(literal 1/9 binary64))
(* 1/3 (* (sqrt x) y))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 0 binary64)) #s(literal 1/9 binary64))
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 0 binary64)) #s(literal 1/9 binary64))
(* x (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 0 binary64)) #s(literal 1/9 binary64))
(* -1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 0 binary64)) #s(literal 1/9 binary64))
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 0 binary64)) #s(literal 1/9 binary64))
(* -1 (* x (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 0 binary64)) #s(literal 1/9 binary64))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) #s(literal 1/9 binary64))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) #s(literal 1/9 binary64))
(+ 1/9 (* 1/3 (* (sqrt x) y)))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) #s(literal 1/9 binary64))
(* 1/3 (* (sqrt x) y))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) #s(literal 1/9 binary64))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) #s(literal 1/9 binary64))
(* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) #s(literal 1/9 binary64))
(* 1/3 (* (sqrt x) y))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) #s(literal 1/9 binary64))
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) #s(literal 1/9 binary64))
(* -1 (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 0 binary64)) #s(literal 1/9 binary64))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
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(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64))
(* (sqrt x) y)
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64))
(* (sqrt x) y)
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64))
(* (sqrt x) y)
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64))
(* (sqrt x) y)
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64))
(* (sqrt x) y)
(fma.f64 (sqrt.f64 x) y #s(literal 0 binary64))
(* 1/3 (sqrt x))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 1/3 (sqrt x))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 1/3 (sqrt x))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 1/3 (sqrt x))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 1/3 (sqrt x))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 1/3 (sqrt x))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 1/3 (sqrt x))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 1/3 (sqrt x))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* -1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 x) #s(literal 0 binary64))

eval82.0ms (0.8%)

Memory
-6.1MiB live, 150.2MiB allocated
Compiler

Compiled 10 107 to 998 computations (90.1% saved)

prune103.0ms (1%)

Memory
-6.1MiB live, 121.6MiB allocated
Pruning

22 alts after pruning (16 fresh and 6 done)

PrunedKeptTotal
New7195724
Fresh21113
Picked235
Done033
Total72322745
Accuracy
100.0%
Counts
745 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓30.3%
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
65.7%
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
64.3%
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
62.2%
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) #s(literal 1 binary64))
64.3%
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
64.4%
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
34.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))
45.3%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
34.8%
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
3.1%
(/.f64 #s(literal 1/9 binary64) x)
✓34.7%
(/.f64 #s(literal -1/9 binary64) x)
✓95.9%
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64)) x))
74.6%
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 #s(literal 1/9 binary64) (*.f64 y y) #s(literal 0 binary64)) #s(literal -1/81 binary64)) (*.f64 x (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))))
64.4%
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
30.3%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
74.6%
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/9 binary64) (*.f64 y y) #s(literal 0 binary64)) #s(literal -1/81 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))))
✓64.3%
(+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
65.7%
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
✓65.7%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
34.7%
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
35.9%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
✓30.3%
#s(literal 1 binary64)
Compiler

Compiled 712 to 300 computations (57.9% saved)

regimes41.0ms (0.4%)

Memory
-6.2MiB live, 69.5MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) #s(literal 1 binary64))
(/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64)) x))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 #s(literal 1/9 binary64) (*.f64 y y) #s(literal 0 binary64)) #s(literal -1/81 binary64)) (*.f64 x (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/9 binary64) (*.f64 y y) #s(literal 0 binary64)) #s(literal -1/81 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))))
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 y #s(literal -1/3 binary64) (sqrt.f64 x)) (*.f64 x #s(literal -1/9 binary64))) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (sqrt.f64 x) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 y #s(literal 1/3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x))))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Calls

3 calls:

14.0ms
x
13.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
12.0ms
y
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes31.0ms (0.3%)

Memory
3.5MiB live, 47.2MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) #s(literal 1 binary64))
(/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64)) x))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
Outputs
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
Calls

3 calls:

12.0ms
x
9.0ms
y
9.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes28.0ms (0.3%)

Memory
13.1MiB live, 52.2MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) #s(literal 1 binary64))
(/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64)) x))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
Outputs
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
Calls

3 calls:

10.0ms
y
9.0ms
x
8.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes28.0ms (0.3%)

Memory
-23.0MiB live, 53.9MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) #s(literal 1 binary64))
(/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64)) x))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Outputs
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64)) x))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Calls

3 calls:

9.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
8.0ms
x
8.0ms
y
Results
AccuracySegmentsBranch
99.6%2x
98.5%2y
98.5%2(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes9.0ms (0.1%)

Memory
22.8MiB live, 22.8MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) #s(literal 1 binary64))
(/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))
Outputs
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
99.6%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes27.0ms (0.3%)

Memory
2.0MiB live, 43.8MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) #s(literal 1 binary64))
(/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
Outputs
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Calls

3 calls:

12.0ms
x
7.0ms
y
7.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
96.2%3y
96.2%3(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
98.7%3x
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes20.0ms (0.2%)

Memory
-5.6MiB live, 33.3MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(+.f64 (/.f64 (fma.f64 y #s(literal -1/3 binary64) #s(literal 0 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
Outputs
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Calls

3 calls:

7.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
6.0ms
x
6.0ms
y
Results
AccuracySegmentsBranch
96.2%3y
83.4%2(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
82.5%2x
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes6.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
Outputs
(+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
Calls

1 calls:

5.0ms
y
Results
AccuracySegmentsBranch
96.1%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
-28.8MiB live, 9.8MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
Outputs
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
Calls

1 calls:

6.0ms
y
Results
AccuracySegmentsBranch
96.1%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
Outputs
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
96.1%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory
-8.7MiB live, 29.8MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
Calls

3 calls:

5.0ms
x
4.0ms
y
4.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
65.8%1x
65.8%1(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
65.8%1y
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes11.0ms (0.1%)

Memory
18.6MiB live, 18.6MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
Calls

3 calls:

3.0ms
y
3.0ms
x
3.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
65.7%1y
65.7%1(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
65.7%1x
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes8.0ms (0.1%)

Memory
-25.5MiB live, 18.0MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
Outputs
(/.f64 #s(literal -1/9 binary64) x)
#s(literal 1 binary64)
Calls

3 calls:

4.0ms
y
2.0ms
x
2.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
38.5%3y
63.6%2(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
63.1%2x
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes4.0ms (0%)

Memory
8.9MiB live, 8.9MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
Calls

3 calls:

1.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
30.3%1y
30.3%1x
30.3%1(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch13.0ms (0.1%)

Memory
21.0MiB live, 21.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
235207412130760.53
7942400486541178.0
Samples
8.0ms112×0valid
Compiler

Compiled 194 to 157 computations (19.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 1.0ms (20% of total)
ival-sub: 1.0ms (20% of total)
ival-mult: 1.0ms (20% of total)
ival-sqrt: 1.0ms (20% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch7.0ms (0.1%)

Memory
-24.5MiB live, 13.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
6.0ms
235207412130760.53
7942400486541178.0
Samples
5.0ms48×0valid
Compiler

Compiled 94 to 77 computations (18.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (57% of total)
ival-mult: 1.0ms (28.5% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Memory
8.6MiB live, 46.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
24643393.040879946
310015531.59733236
10.0ms
0.014036216248690319
0.09198971664668219
Samples
15.0ms192×0valid
Compiler

Compiled 253 to 209 computations (17.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 3.0ms (28.7% of total)
ival-sub: 3.0ms (28.7% of total)
ival-mult: 3.0ms (28.7% of total)
ival-sqrt: 1.0ms (9.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch54.0ms (0.5%)

Memory
0.8MiB live, 38.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
37.0ms
1.1908613992378769e+81
1.6001717855983377e+85
14.0ms
-8.776772833090452e+34
-2.773334515545987e+26
Samples
42.0ms272×0valid
Compiler

Compiled 376 to 306 computations (18.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-sub: 26.0ms (72.6% of total)
ival-div: 4.0ms (11.2% of total)
ival-mult: 3.0ms (8.4% of total)
ival-sqrt: 2.0ms (5.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch38.0ms (0.4%)

Memory
-13.0MiB live, 38.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
1.1908613992378769e+81
1.6001717855983377e+85
14.0ms
-8.776772833090452e+34
-2.773334515545987e+26
Samples
18.0ms272×0valid
Compiler

Compiled 368 to 298 computations (19% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 4.0ms (33.5% of total)
ival-mult: 3.0ms (25.2% of total)
ival-sub: 2.0ms (16.8% of total)
ival-sqrt: 2.0ms (16.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Memory
18.4MiB live, 55.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
1.1908613992378769e+81
1.6001717855983377e+85
15.0ms
-8.776772833090452e+34
-2.773334515545987e+26
Samples
21.0ms272×0valid
Compiler

Compiled 359 to 289 computations (19.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 6.0ms (41.6% of total)
ival-mult: 3.0ms (20.8% of total)
ival-sub: 2.0ms (13.9% of total)
ival-sqrt: 2.0ms (13.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch36.0ms (0.4%)

Memory
-18.7MiB live, 55.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.1908613992378769e+81
1.6001717855983377e+85
18.0ms
-8.776772833090452e+34
-2.773334515545987e+26
Samples
21.0ms272×0valid
Compiler

Compiled 359 to 289 computations (19.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sqrt: 5.0ms (33% of total)
ival-div: 4.0ms (26.4% of total)
ival-mult: 3.0ms (19.8% of total)
ival-sub: 2.0ms (13.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.207864478351109
0.8536118948978444
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify15.0ms (0.1%)

Memory
27.2MiB live, 27.2MiB allocated
Algorithm
1×egg-herbie
Rules
42×*-commutative_binary64
42×+-commutative_binary64
38×sub-neg_binary64
28×neg-sub0_binary64
28×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078250
1107250
2135250
3168250
4194250
5206250
6209250
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(if (<=.f64 x #s(literal 2400000000000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64)) x)) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 2000000000000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 8214565720323785/288230376151711744 binary64)) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) (if (<=.f64 x #s(literal 25000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
(if (<=.f64 y #s(literal -190000000000000015600027741192192 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 1199999999999999947663172542221813969489814972339193549730036029167321479840268288 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
(if (<=.f64 y #s(literal -89999999999999992219467027316736 binary64)) (+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1199999999999999947663172542221813969489814972339193549730036029167321479840268288 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -85000000000000002867884413843144704 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1199999999999999947663172542221813969489814972339193549730036029167321479840268288 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -114999999999999998064607205785600 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1199999999999999947663172542221813969489814972339193549730036029167321479840268288 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal -3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(if (<=.f64 x #s(literal 2400000000000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) y #s(literal 1/9 binary64)) x)) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 2000000000000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 2000000000000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1/9 binary64)) x)) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 8214565720323785/288230376151711744 binary64)) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) (if (<=.f64 x #s(literal 25000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
(if (<=.f64 y #s(literal -190000000000000015600027741192192 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 1199999999999999947663172542221813969489814972339193549730036029167321479840268288 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
(if (<=.f64 y #s(literal -89999999999999992219467027316736 binary64)) (+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1199999999999999947663172542221813969489814972339193549730036029167321479840268288 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -89999999999999992219467027316736 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) (if (<=.f64 y #s(literal 1199999999999999947663172542221813969489814972339193549730036029167321479840268288 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -85000000000000002867884413843144704 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1199999999999999947663172542221813969489814972339193549730036029167321479840268288 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -114999999999999998064607205785600 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1199999999999999947663172542221813969489814972339193549730036029167321479840268288 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal -3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
(if (<=.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal -3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.6s (16.3%)

Memory
-12.0MiB live, 883.0MiB allocated
Rules
10 560×accelerator-lowering-fma.f32
10 560×accelerator-lowering-fma.f64
9 218×accelerator-lowering-fma.f32
9 218×accelerator-lowering-fma.f64
8 710×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02503252
17392982
223522920
371382916
082772746
053624
1126624
2301623
3774623
41976623
53973623
65196623
76355623
87468623
97854623
08009602
043162
1266147
22810141
08327134
031102
118896
2175296
0862191
01236
16730
278230
0839829
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 694 to 413 computations (40.5% saved)

preprocess162.0ms (1.6%)

Memory
6.7MiB live, 201.8MiB allocated
Compiler

Compiled 606 to 204 computations (66.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...